{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 7.1　使用mplot3d绘制3D图表"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7.1.1　mplot3d概述"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "fig = plt.figure()\n",
    "ax = Axes3D(fig)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7.1.2　绘制常见的3D图表"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import axes3d\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "# 获取测试数据\n",
    "X, Y, Z = axes3d.get_test_data(0.05)\n",
    "# 绘制 3D线框图\n",
    "ax.plot_wireframe(X, Y, Z, rstride=10, cstride=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import cm\n",
    "import numpy as np\n",
    "x1 = np.arange(-5, 5, 0.25)\n",
    "y1 = np.arange(-5, 5, 0.25)\n",
    "x1, y1 = np.meshgrid(x1, y1)\n",
    "r1 = np.sqrt(x1** 2 + y1 ** 2)\n",
    "z1 = np.sin(r1)\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "# 绘制曲面图\n",
    "ax.plot_surface(x1, y1, z1, cmap=cm.coolwarm, linewidth=0, antialiased=False) \n",
    "# 设置 z 轴刻度的范围、位置、格式\n",
    "ax.set_zlim(-1.01, 1.01)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7.1.3　实例1：三维空间的星星"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 01_stars_in_3d\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "plt.rcParams[\"font.sans-serif\"] = [\"SimHei\"]\n",
    "plt.rcParams[\"axes.unicode_minus\"] = False\n",
    "# 生成测试数据\n",
    "x = np.random.randint(0, 40, 30)\n",
    "y = np.random.randint(0, 40, 30)\n",
    "z = np.random.randint(0, 40, 30)\n",
    "# 创建三维坐标系的绘图区域, 并在该区域中绘制3D散点图\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "for xx, yy, zz in zip(x, y, z):\n",
    "    color = 'y'\n",
    "    if 10 < zz < 20:\n",
    "        color = '#C71585'\n",
    "    elif zz >= 20:\n",
    "        color = '#008B8B'\n",
    "    ax.scatter(xx, yy, zz, c=color, marker='*', s=160, linewidth=1, edgecolor='black')\n",
    "ax.set_xlabel('x轴')\n",
    "ax.set_ylabel('y轴')\n",
    "ax.set_zlabel('z轴')\n",
    "ax.set_title('3D散点图', fontproperties='simhei', fontsize=14)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 7.2　使用animation制作动图"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7.2.1　animation概述"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 以qt5为图形界面后端\n",
    "%matplotlib qt5\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.animation import FuncAnimation    # 导入动画类\n",
    "x = np.arange(0, 2 *np.pi, 0.01)\n",
    "fig, ax = plt.subplots()\n",
    "line, = ax.plot(x, np.sin(x))\n",
    "# 定义每帧动画调用的函数 \n",
    "def animate(i):\n",
    "    line.set_ydata(np.sin(x + i / 10.0))\n",
    "    return line\n",
    "# 定义初始化帧的函数\n",
    "def init():\n",
    "    line.set_ydata(np.sin(x))\n",
    "    return line\n",
    "ani = FuncAnimation(fig=fig, func=animate, frames=100, \n",
    "                    init_func=init, interval=20, blit=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.animation import ArtistAnimation\n",
    "x = np.arange(0, 2 * np.pi, 0.01)\n",
    "fig, ax = plt.subplots()\n",
    "arr = []\n",
    "for i in range(5):\n",
    "    line = ax.plot(x, np.sin(x + i))\n",
    "    arr.append(line)\n",
    "# 根据arr存储的一组图形创建动画\n",
    "ani = ArtistAnimation(fig=fig, artists=arr, repeat=True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7.2.2　实例2：三维空间闪烁的星星"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 02_twinkling_stars_in_3d\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from matplotlib.animation import FuncAnimation\n",
    "plt.rcParams[\"font.sans-serif\"] = [\"SimHei\"]\n",
    "plt.rcParams[\"axes.unicode_minus\"] = False\n",
    "# 生成测试数据\n",
    "xx = np.array([13, 5, 25, 13, 9, 19, 3, 39, 13, 27])\n",
    "yy = np.array([4, 38, 16, 26, 7, 19, 28, 10, 17, 18])\n",
    "zz = np.array([7, 19, 6, 12, 25, 19, 23, 25, 10, 15])\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "# 绘制初始的3D散点图\n",
    "star = ax.scatter(xx, yy, zz, c='#C71585', marker='*', s=160, \n",
    "      linewidth=1, edgecolor='black')\n",
    "# 每帧动画调用的函数\n",
    "def animate(i):\n",
    "    if i % 2:\n",
    "        color = '#C71585'\n",
    "    else:\n",
    "        color = 'white'\n",
    "    next_star = ax.scatter(xx, yy, zz, c=color, marker='*', s = 160, linewidth=1, edgecolor='black')\n",
    "    return next_star\n",
    "def init():\n",
    "    return star\n",
    "ani = FuncAnimation(fig=fig, func=animate, frames=None, init_func =init, interval=1000, blit=False)\n",
    "ax.set_xlabel('x轴')\n",
    "ax.set_ylabel('y轴')\n",
    "ax.set_zlabel('z轴')\n",
    "ax.set_title('3D散点图', fontproperties='simhei', fontsize=14)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 7.3　使用basemap绘制统计地图"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7.3.2　实例3：美国部分城镇人口分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 03_twinkling_stars_in_3d\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.basemap import Basemap\n",
    "plt.rcParams[\"font.sans-serif\"] = [\"SimHei\"]\n",
    "plt.rcParams[\"axes.unicode_minus\"] = False\n",
    "# 创建 Basemap 对象\n",
    "map = Basemap(projection='stere', lat_0=90, lon_0=-105, llcrnrl at=23.41, \n",
    "              urcrnrlat=45.44, llcrnrlon=-118.67, urcrnrlon=-64.52, \n",
    "              rsphere=6371200., resolution='l', area_thresh=10000)\n",
    "map.drawmapboundary()     # 绘制地图投影周围边界\n",
    "map.drawstates()          # 绘制州界\n",
    "map.drawcoastlines()      # 绘制海岸线\n",
    "map.drawcountries()       # 绘制国家边界\n",
    "# 绘制纬线\n",
    "parallels = np.arange(0., 90, 10.)\n",
    "map.drawparallels(parallels, labels=[1, 0, 0, 0], fontsize=10)\n",
    "# 绘制经线\n",
    "meridians = np.arange(-110., -60., 10.)\n",
    "map.drawmeridians(meridians, labels=[0, 0, 0, 1], fontsize=10)\n",
    "posi = pd.read_csv(r\"C:\\Users\\admin\\Desktop\\2014_us_cities.csv\")\n",
    "# 从3228组城市数据中选择500 组数据\n",
    "lat = np.array(posi[\"lat\"][0:500])               # 获取纬度值\n",
    "lon = np.array(posi[\"lon\"][0:500])               # 获取经度值\n",
    "pop = np.array(posi[\"pop\"][0:500], dtype=float)  # 获取人口数\n",
    "# 气泡图的气泡大小\n",
    "size = (pop / np.max(pop)) * 1000 \n",
    "x, y = map(lon, lat)\n",
    "map.scatter(x, y, s=size)\n",
    "plt.title('2014年美国部分城镇的人口分布情况')\n",
    "plt.show()"
   ]
  }
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